Details

sample18.0ms

Algorithm

intervals

Results

6.0ms	243×	body	80	valid
1.0ms	6×	body	1280	valid
0.0ms	5×	body	320	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

simplify4.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	19	7
3	29	7
4	40	7
5	94	7
6	206	7
7	486	7
8	1272	7
9	4324	7
done	5000	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (- x y) 2.0))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r-` `flip3-+` `div-sub` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 13

Calls

1 calls:

26.0ms

(+ x (/ (- x y) 2.0))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(+ x (/ (- x y) 2.0))

simplify2.0s

Counts

16 → 16

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	34	178
1	92	171
2	250	157
3	791	157
4	3874	157
done	5001	157

prune48.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* 1.5 x) (* 0.5 y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

20.0ms

(- (* 1.5 x) (* 0.5 y))

series54.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(- (* 1.5 x) (* 0.5 y))

simplify2.0s

Counts

15 → 15

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	29	174
1	88	169
2	274	155
3	883	155
4	2506	155
done	5002	155

prune35.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* 1.5 x) (* 0.5 y))) (cbrt (- (* 1.5 x) (* 0.5 y))))
0.5b	(cbrt (- (* 1.5 x) (* 0.5 y)))
0.5b	(cbrt (- (* 1.5 x) (* 0.5 y)))
0.5b	(cbrt (- (* 1.5 x) (* 0.5 y)))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

78.0ms	(* (cbrt (- (* 1.5 x) (* 0.5 y))) (cbrt (- (* 1.5 x) (* 0.5 y))))
11.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
12.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
12.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))

series2.4s

Counts

4 → 12

Calls

4 calls:

637.0ms	(* (cbrt (- (* 1.5 x) (* 0.5 y))) (cbrt (- (* 1.5 x) (* 0.5 y))))
582.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
577.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
617.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))

simplify1.2s

Counts

99 → 99

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	129	2000
1	290	1867
2	961	1749
done	5000	1635

prune468.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
0.0b	(- x (/ (- x y) 2.0))
14.5b	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
28.3b	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

rewrite313.0ms

Algorithm

rewrite-expression-head

Rules

122×	`add-sqr-sqrt`
110×	`*-un-lft-identity`
106×	`times-frac`
56×	`add-cube-cbrt`
32×	`difference-of-squares`
25×	`swap-sqr`
24×	`distribute-lft-out--`
19×	`associate-r` `associate-l`
18×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
8×	`add-log-exp`
6×	`associate-/r*`
5×	`cbrt-undiv` `div-exp` `div-inv`
4×	`flip3--` `prod-exp` `flip--` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`sub-neg` `diff-log` `div-sub` `associate-/r/` `associate-/l/`
1×	`pow2` `frac-times` `frac-2neg` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up` `associate--r-`

Counts

4 → 171

Calls

4 calls:

109.0ms	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
43.0ms	(- x (/ (- x y) 2.0))
17.0ms	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
126.0ms	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

series329.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
56.0ms	(- x (/ (- x y) 2.0))
44.0ms	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
191.0ms	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

simplify587.0ms

Counts

183 → 183

Iterations

Useful iterations: done (576.0ms)

Iter	Nodes	Cost
0	260	4201
1	847	3868
done	5000	3586

prune530.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes102.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	9	7
done	9	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

681.0ms	7404×	body	80	valid
49.0ms	80×	body	2560	valid
34.0ms	232×	body	1280	valid
19.0ms	161×	body	640	valid
18.0ms	87×	body	320	valid
2.0ms	36×	body	160	valid